This article is cited in 1 paper

Lacunary self-similar fractal sets and intersection of cantor sets

K. B. Igudesman

Kazan State University, Faculty of Mechanics and Mathematics

Abstract: The problem on intersection of Cantor sets was examined in many papers. To solve this problem, we introduce the notion of lacunary self-similar set. The main difference to the standard (Hutchinson) notion of self-similarity is that the set of similarities used in the construction may vary from step to step in a certain way. Using a modification of method described in [3], [4], we find the Hausdorff dimension of a lacunary self-similar set.

Submitted by: M. A. Malakhaltsev
Received: 24.12.2002

Language: English

Bibliographic databases:

• 
•